Series Solution to Problems in Elastodynamics

by Wilfred W. Recker, (A.M.ASCE), Asst. Prof. of Engrg. and Appl. Sci.; State Univ. of New York at Buffalo, Buffalo, NY,

Serial Information: Journal of the Engineering Mechanics Division, 1971, Vol. 97, Issue 4, Pg. 1257-1275

Document Type: Journal Paper


Presented herein is a power series solution to the mixed initial and boundary value problem in three-dimensional elastodynamics. Based on the characteristic properties of the governing hyperbolic system of equations, the problem is reduced to solving initial value problems in Cauchy-Kowalewsky normal form along characteristic surfaces and obtaining discontinuity expansions about these surfaces. A numerical example is also presented.

Subject Headings: Surface properties | Boundary value problem | Discontinuities | Numerical methods

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